8865501120 has 336 divisors, whose sum is σ = 35084357568. Its totient is φ = 2012774400.

The previous prime is 8865501109. The next prime is 8865501121. The reversal of 8865501120 is 211055688.

8865501120 is a `hidden beast` number, since 8 + 86 + 550 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8865501120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8865501121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163720 + ... + 3166520.

Almost surely, 2^8865501120 is an apocalyptic number.

8865501120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8865501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542178784).

8865501120 is an abundant number, since it is smaller than the sum of its proper divisors (26218856448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8865501120 is a wasteful number, since it uses less digits than its factorization.

8865501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 8865501120 is about 94156.7900897222. The cubic root of 8865501120 is about 2069.6699606841.

The spelling of 8865501120 in words is "eight billion, eight hundred sixty-five million, five hundred one thousand, one hundred twenty".